Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19881k |
Isogeny class |
Conductor |
19881 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-29915588640219687 = -1 · 310 · 477 |
Discriminant |
Eigenvalues |
1 3- 2 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40176,8890155] |
[a1,a2,a3,a4,a6] |
Generators |
[238380246:113399093205:38614472] |
Generators of the group modulo torsion |
j |
-912673/3807 |
j-invariant |
L |
7.3776883057675 |
L(r)(E,1)/r! |
Ω |
0.32422106827165 |
Real period |
R |
11.377558443528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6627g1 423c1 |
Quadratic twists by: -3 -47 |